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Simplifying -3(2p + -5) + 4 = 8 + -2(p + 4) Reorder the terms: -3(-5 + 2p) + 4 = 8 + -2(p + 4) (-5 * -3 + 2p * -3) + 4 = 8 + -2(p + 4) (15 + -6p) + 4 = 8 + -2(p + 4) Reorder the terms: 15 + 4 + -6p = 8 + -2(p + 4) Combine like terms: 15 + 4 = 19 19 + -6p = 8 + -2(p + 4) Reorder the terms: 19 + -6p = 8 + -2(4 + p) 19 + -6p = 8 + (4 * -2 + p * -2) 19 + -6p = 8 + (-8 + -2p) Combine like terms: 8 + -8 = 0 19 + -6p = 0 + -2p 19 + -6p = -2p Solving 19 + -6p = -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 19 + -6p + 2p = -2p + 2p Combine like terms: -6p + 2p = -4p 19 + -4p = -2p + 2p Combine like terms: -2p + 2p = 0 19 + -4p = 0 Add '-19' to each side of the equation. 19 + -19 + -4p = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4p = 0 + -19 -4p = 0 + -19 Combine like terms: 0 + -19 = -19 -4p = -19 Divide each side by '-4'. p = 4.75 Simplifying p = 4.75
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